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Finding the Fourth Proportional to 976.29, 1,464.77 and 610.64

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Solution

The fourth proportional to 976.29, 1,464.77 and 610.64 is: 916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.29 : 1,464.77 = 610.64 : x
  2. Step 2: Convert to fraction form
    976.29/1,464.77 = 610.64/x
  3. Step 3: Cross multiply
    976.29x = 1,464.77 × 610.64
  4. Step 4: Simplify right side
    976.29x = 894,452.34
  5. Step 5: Solve for x
    x = 894,452.34/976.29
  6. Step 6: Final answer
    x = 916.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.